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Choose the correct answer int sqrt(1+x^2...

Choose the correct answer `int sqrt(1+x^2) d x` is equal to A)`x/2 sqrt(1+x^2)+1/2 log |x+sqrt(1+x^2)|+C` B)`2/3(1+x^2)^(3 / 2)+C` C)`3/2 x(1+x^2)^(3 / 2)+C` D) `x^2/2 sqrt(1+x^2)+1/2 x^2 log |x+sqrt(1+x^2)|+C`

A

x/2 sqrt(1+x^2)+1/2 log |x+sqrt(1+x^2)|+C'

B

2/3(1+x^2)^(3 / 2)+C'

C

3/2 x(1+x^2)^(3 / 2)+C'.

D

' x^2/2 sqrt(1+x^2)+1/2 x^2 log |x+sqrt(1+x^2)|+C'

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The correct Answer is:
A
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V PUBLICATION-INTEGRALS-QUESTION BANK
  1. Integrate the function sqrt(x^2+3 x)

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  2. Integrate the function sqrt(1+x^2/9)

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  3. Choose the correct answer int sqrt(1+x^2) d x is equal to A)x/2 sqrt(1...

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  4. int sqrt (x^2-8 x+7) d xis equal to A)1/2(x-4) sqrt(x^2-8 x+7)+9 log ...

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  5. Evaluate int0^2(x^2+1)dx as the limit of a sum

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  6. Evaluate int0^2e^xdx as limit of a sum.

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  7. Evaluate the following definite integrals as limits of sums. inta^b xd...

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  8. Evaluate the following definite integrals as limit of a sum int0^5(x+1...

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  9. Evaluate the following definite integrals as limits of sums. int2^3 x^...

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  10. Evaluate the following definite integrals as limits of sums. int1^4 (x...

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  11. Evaluate the following definite integrals as limits of sums. int-1^1 e...

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  12. Evaluate the following definite integrals as limits of sums. int0^4 (x...

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  13. Evaluate the following integrals: int4^9 sqrtx/(30-x^(3/2))^2 dx

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  14. Evaluate the following integrals: int-1^1 (x+1) dx

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  15. Evaluate the following integrals: int2^3 1/x dx

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  16. Evaluate the definite integral int1^2(4 x^3-5 x^2+6 x+9) d x

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  17. Evaluate the following integrals: int0^(pi/4) sin2xdx

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  18. Evaluate the definite integral int0^(pi / 2) cos 2 x d x

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  19. Evaluate the following integrals: int4^5 e^x dx

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  20. Evaluate the following integrals: int0^(pi/4) tanx dx

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